2000/05/11 by Irene I. Bouw, Stefan Wewers, Bouw, Irene I. +1
Mathematics · #14G32 #14H30 #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #FOS: Mathematics #Holomorphic and Operator Theory #math.AG #msc:14G32 #msc:14H30
paper · pdf · doi:10.48550/arxiv.math/0005120
43 pages, 2 figures
arxiv created 2000/05/11 · openalex publication_date 2000/05/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the reduction of Galois covers of curves, from characteristic 0 to characteristic p. The starting point is a is a recent result of Raynaud which gives a criterion for good reduction for covers of the projective line branch at 3 points. Under some condition on the Galois group, we extend this criterion to the case of 4 branch points. Moreover, we describe the reduction of the Hurwitz space of such covers and compute the number of covers with good reduction.